Find the equation to the locus of a point whose distance from the origin is fixed to be 2.

Find the equation to the locus of a point whose distance from the (-1,3,4) is 12.

Find the vector equations to the locus of a point whose distance from the point C(alphahati+betahatj+gammahatk) is constant equal to a.

Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/4=1 touching the ellipse at point A and B. Q. The equation of the locus of the points whose distance from the point P and the line AB are equal, is

Find the equation of the set of all points whose distances from (0, 4) are 2/3 of their distances from the line y = 9. Name the curve.

Find the locus of a point which is equidistant from both axis.

Find the equation of the locus of all points, the sum of whose distances from (3, 0) and (9, 0) is 12.

Find the locus of a point whose sum of the distances from the origin and the line x = 2 is 4 units.

Write the equation to the locus of a point which is always at a fixed distance 'r' from the origin.

The equation of the locus of points equidistant from (-1-1) and (4,2) is

The equation of the locus of a point which moves so that its distance from the point (ak, 0) is k times its distance from the point ((a)/(k),0) (k ne 1) is